Skip to Main Content


AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution


Abelian Galois cohomology of reductive groups

About this Title

Mikhail Borovoi

Publication: Memoirs of the American Mathematical Society
Publication Year: 1998; Volume 132, Number 626
ISBNs: 978-0-8218-0650-0 (print); 978-1-4704-0215-0 (online)
DOI: https://doi.org/10.1090/memo/0626
MathSciNet review: 1401491
MSC: Primary 20G10; Secondary 11E72, 14E20, 18G50

PDF View full volume as PDF

Read more about this volume

View other years and numbers:

Table of Contents

Chapters

  • Introduction
  • 1. The algebraic fundamental group of a reductive group
  • 2. Abelian Galois cohomology
  • 3. The abelianization map
  • 4. Computation of abelian Galois cohomology
  • 5. Galois cohomology over local fields and number fields